Negligible Variation and the Change of Variables Theorem
Classical Analysis and ODEs
2012-12-20 v1
Abstract
In this note we prove a necessary and sufficient condition for the change of variables formula for the HK integral, with implications for the change of variables formula for the Lebesgue integral. As a corollary, we obtain a necessary and sufficient condition for the Fundamental Theorem of Calculus to hold for the HK integral.
Keywords
Cite
@article{arxiv.1212.4574,
title = {Negligible Variation and the Change of Variables Theorem},
author = {Vermont Rutherfoord and Yoram Sagher},
journal= {arXiv preprint arXiv:1212.4574},
year = {2012}
}